Phase Space Tomography of Classical and Nonclassical Vibrational States of Atoms in an Optical Lattice

Abstract

Atoms trapped in optical lattice have long been a system of interest in the AMO community, and in recent years much study has been devoted to both short- and long-range coherence in this system, as well as to its possible applications to quantum information processing. Here we demonstrate for the first time complete determination of the quantum phase space distributions for an ensemble of ${}^{85}Rb$ atoms in such a lattice, including a negative Wigner function for atoms in an inverted state.

Submitted to Journal of Optics B: Quantum and Semiclassical Optics. Special issue in connection with the 9th International Conference on Squeezed States and Uncertainty Relations, to be held in Besancon, France, on 2-6 May 2005

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• Efficient Quantum State Estimation by Continuous Weak Measurement and Dynamical Control
• Observation of high-order quantum resonances in the kicked rotor
• Continuous phase-space representations for finite-dimensional quantum states and their tomography
• Phase-space inequalities beyond negativities
• High Fidelity Quantum Gates in the Presence of Dispersion
• Entanglement engineering of optomechanical systems by reinforcement learning
• Quantum chaos in the mesoscopic device for the Josephson flux qubit
• Relating the Glauber-Sudarshan, Wigner and Husimi quasiprobability distributions operationally through the quantum limited amplifier and attenuator channels
• Direct measurement of the quantum state of photons in a cavity